SOLUTION: a land mass is roughly in the shape of a rectangle whose perimeter is 1,100 miles the width is 130 miles less than the length. find the length and the width

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Question 1055350: a land mass is roughly in the shape of a rectangle whose perimeter is 1,100 miles the width is 130 miles less than the length. find the length and the width

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let +P+ = perimeter
+L+ = length
+W+ = width
The formula for perimeter of a rectangle is:
+P+=+2L+%2B+2W+
-----------------------------
+1100+=+2L+%2B+2%2A%28+L+-+130+%29+
+1100+=+2L+%2B+2L+-+260+
+4L+=+1360+
+L+=+340+
and
+W+=+L+-+130+
+W+=+340+-+130+
+W+=+210+
The length is 340 mi
The width is 210 mi
-----------------
check:
+P+=+2L+%2B+2W+
+P+=+2%2A340+%2B+2%2A210+
+P+=+680+%2B+420+
+P+=+1100+
OK